This project is a one-page, print-ready study reference sheet covering the three core topics of a university Algebra II course: Linear Maps, Matrices & Determinants, and Linear Systems. Designed to be task-oriented, every section answers “if the exam asks X, here’s exactly what to do” with fully formatted LaTeX mathematical formulas, color-coded sections, and a clean 3-column layout that fits everything on a single A4 page. What’s included: -Kernel & image, how to find them, basis, dimensions -Rank-nullity theorem, injectivity, surjectivity, bijectivity -Determinants (2×2 and 3×3), row operations, invertibility -Two methods for computing A⁻¹ -Change of basis (P⁻¹AP) -Linear systems, Gaussian elimination, Cramer’s rule, consistency conditions, parametric discussion Delivered as: A professional PDF, compiled from LaTeX source.